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Finding the Third Proportional to 714,471 and 1,527,198

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Solution

The third proportional to 714,471 and 1,527,198 is: 3,264,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,471 : 1,527,198 = 1,527,198 : x
  2. Step 2: Convert to fraction form
    714,471/1,527,198 = 1,527,198/x
  3. Step 3: Cross multiply
    714,471x = 1,527,198 × 1,527,198
  4. Step 4: Simplify right side
    714,471x = 2,332,333,731,204
  5. Step 5: Solve for x
    x = 2,332,333,731,204/714,471
  6. Step 6: Final answer
    x = 3,264,420.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.